On January 28, 1986, the space shuttle Challenger exploded, killing all seven astronauts aboard. An investigation concluded that the explosion was caused by the failure of the O ring seal in the joint between the two lower segments of the right solid rocket booster. In a report made one year prior to the catastrophe, the National Aeronautics and Space Administration (NASA) claimed that the probability of such a failure was about 1/60,000, or about once in every 60,000 flights. But a risk-assessment study conducted for the Air Force at about the same time assessed the probability to be 1/35, or about once in every 35 missions. The shuttle had flown 24 successful missions prior to the disaster.) Given the events of January 28, 1986, which risk assessment—NASA’s or the Air Force’s—appears to be more appropriate?
Answer to relevant QuestionsClassify the following random variables according to whether they are discrete or continuous: a. The number of words spelled correctly by a student on a spelling test b. The amount of water flowing through the Hoover Dam ...The random variable x has the discrete probability distribution shown here: a. Find P(x ≤ 0). b. Find P(x 7 – 1). c. Find P(–1 ≤ x ≤1). d. Find P(x < 2). e. Find P(–1 < x < 2). f. Find P(x < 1). Consider the probability distribution for the random variable x shown here: a. Find µ, σ2, and s. b. Graph p(x). c. Locate μ and the interval μ ± 2σ on your graph. What is the probability that x will fall within the ...Suppose x is a binomial random variable with n = 3 and p = .3. a. Calculate the value of p(x), x = 0, 1, 2, 3, using the formula for a binomial probability distribution. b. Using your answers to part a, give the ...A literature professor decides to give a 20-question true–false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every ...
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